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Finding the Third Proportional to 51,092 and 74,694

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Solution

The third proportional to 51,092 and 74,694 is: 109,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,092 : 74,694 = 74,694 : x
  2. Step 2: Convert to fraction form
    51,092/74,694 = 74,694/x
  3. Step 3: Cross multiply
    51,092x = 74,694 × 74,694
  4. Step 4: Simplify right side
    51,092x = 5,579,193,636
  5. Step 5: Solve for x
    x = 5,579,193,636/51,092
  6. Step 6: Final answer
    x = 109,198.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.